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Finding the Fourth Proportional to 585,430.50, 807,894.90 and 317,158.50

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Solution

The fourth proportional to 585,430.50, 807,894.90 and 317,158.50 is: 437,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,430.50 : 807,894.90 = 317,158.50 : x
  2. Step 2: Convert to fraction form
    585,430.50/807,894.90 = 317,158.50/x
  3. Step 3: Cross multiply
    585,430.50x = 807,894.90 × 317,158.50
  4. Step 4: Simplify right side
    585,430.50x = 256,230,734,641.65
  5. Step 5: Solve for x
    x = 256,230,734,641.65/585,430.50
  6. Step 6: Final answer
    x = 437,679.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.